Paradoxical Proof?

[BAndrew]

To say that the statement "a number N cannot be described with 14 words or less" is a description of that number N is self-contradictory.(1) It's like


the sentence below is true
the above sentence is false
(2)

I didn't understand why (1) is similar to (2)

(1)

Proposition: a number N cannot be described with 14 words or less

Conjecture: The proposition is a way of describing N with <= 14 words

Paradox 1: But according to the proposition, N cannot be described with <= 14 words

Paradox 2: But according to the conjecture, which was based on the idea that the proposition is true, N was just described with <= 14 words

Paradox 3: Same as paradox 1

Paradox 4: Same as paradox 2

and so on

Which is the same type of circular going back and forth as (2)

I now understand your logic. But why "the proposition is a way of describing N with <= 14 words" is a conjecture?